Abstract
In this paper, the fast finite-time consensus tracking problems of the second-order leader-following multi-agent systems are investigated. First, an improved fast finite-time consensus tracking algorithm is presented that based on the gradient algorithm of the overall cost function. Second, we prove that the leader-following fast finite-time consensus can be achieved in finite time with the fixed and switching directed topologies. Finally, some simulation examples illustrate the superiority of the improved algorithm.
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